Two-by-Two Contingency Table as a Goodness-of-Fit Test
The Pomeranian Academy,
ul. Arciszewskiego 22, 76-200 Słupsk, Poland
e-mail: informpiotr@interia.eu
Received:
Received: 15 December 2008; revised: 25 September 2009; accepted: 16 October 2009; published online: 26 November 2009
DOI: 10.12921/cmst.2009.15.02.203-211
OAI: oai:lib.psnc.pl:676
Abstract:
This publication presents a two-by-two contingency table as a goodness-of-fit test. The test is devoted to the exponential distribution. However, samples subjected to the test come from the Generalized Gamma Distribution. The aim is to determine the power of the test and to compare the obtained results to the Kolmogorov-Smirnov goodness-of-fit test.
Key words:
generalized gamma random value, goodness-of-fit test, power of test, two-by-two table
References:
[1] S. Ascher, A survey of tests for exponentilaity. Commun. Statist. – Theory Meth. 19, 1811-1825 (1990).
[2] S. Brandt, Data analysis. Warsaw 1998 (in Polish).
[3] A. Canaba and E. Cabana, Goodness of fit to the exponential distribution, focused on Weibull alternatives. Communication in Statistics – Simulation and Computation 34, 711-723 (2005).
[4] K. Ciechanowicz, Generalized gamma distribution and power distribution as a distribution of a robustness of elements. PAN, Warsaw 1969 (in Polish).
[5] H.A. David, Order statistics. Wiley, New York, 1970.
[6] R. Deutsch, Estimation theory. PWN, Warsaw 1969 (in Polish).
[7] D.V. Gokhale and S. Kullback, The information in contingency tables. Marcel Dekker, New York 1978.
[8] N. Henze and S.G. Meintanis, Recent and classical tests for exponentiality: a partial review with comparisons. Metrika 61, 29-45 (2005).
[9] H. Lilliefors, On the Kolmogorov-Smirnov test for the exponential distribution with mean unknown. J. Amer. Statist. Assoc. 64, 387-389 (1969).
[10] E.W. Stacy, A generalization of the gamma distribution. Ann. Math. Statist. 33, 1187-92 (1962).
[11] P. Sulewski, Independence test of two characteristics realized by means of the two-way table. Słupskie Prace Matematyczno-Fizyczne 4, 83-97 (2006) (in Polish).
[12] P. Sulewski, Power of the two-way tables as a independence test. Wiadomości Statystyczne 14-23 (2007) (in Polish).
[13] R. Wieczorkowski and R. Zieliński, Computer generators of random numbers. WN-T, Warsaw 1997 (in Polish).
This publication presents a two-by-two contingency table as a goodness-of-fit test. The test is devoted to the exponential distribution. However, samples subjected to the test come from the Generalized Gamma Distribution. The aim is to determine the power of the test and to compare the obtained results to the Kolmogorov-Smirnov goodness-of-fit test.
Key words:
generalized gamma random value, goodness-of-fit test, power of test, two-by-two table
References:
[1] S. Ascher, A survey of tests for exponentilaity. Commun. Statist. – Theory Meth. 19, 1811-1825 (1990).
[2] S. Brandt, Data analysis. Warsaw 1998 (in Polish).
[3] A. Canaba and E. Cabana, Goodness of fit to the exponential distribution, focused on Weibull alternatives. Communication in Statistics – Simulation and Computation 34, 711-723 (2005).
[4] K. Ciechanowicz, Generalized gamma distribution and power distribution as a distribution of a robustness of elements. PAN, Warsaw 1969 (in Polish).
[5] H.A. David, Order statistics. Wiley, New York, 1970.
[6] R. Deutsch, Estimation theory. PWN, Warsaw 1969 (in Polish).
[7] D.V. Gokhale and S. Kullback, The information in contingency tables. Marcel Dekker, New York 1978.
[8] N. Henze and S.G. Meintanis, Recent and classical tests for exponentiality: a partial review with comparisons. Metrika 61, 29-45 (2005).
[9] H. Lilliefors, On the Kolmogorov-Smirnov test for the exponential distribution with mean unknown. J. Amer. Statist. Assoc. 64, 387-389 (1969).
[10] E.W. Stacy, A generalization of the gamma distribution. Ann. Math. Statist. 33, 1187-92 (1962).
[11] P. Sulewski, Independence test of two characteristics realized by means of the two-way table. Słupskie Prace Matematyczno-Fizyczne 4, 83-97 (2006) (in Polish).
[12] P. Sulewski, Power of the two-way tables as a independence test. Wiadomości Statystyczne 14-23 (2007) (in Polish).
[13] R. Wieczorkowski and R. Zieliński, Computer generators of random numbers. WN-T, Warsaw 1997 (in Polish).
